Couples reported on bases for giving support and on relationship satisfaction just prior to and approximately 2 years into marriage. Overall, a need-based, noncontingent (communal) norm was seen as ideal and was followed, and greater use of this norm was linked to higher relationship satisfaction. An exchange norm was seen as not ideal and was followed significantly less frequently than was a c...

The main aim of this article is to introduce some difference sequence spaces with elements in a finite dimensional 2-normed space and extend the notion of 2-norm and derived norm to thus constructed spaces. We investigate the spaces under the action of different difference operators and show that these spaces become 2-Banach spaces when the base space is a 2-Banach space. We also prove that con...

Let $$I=(a,b)\times (c,d)\subset {\mathbb R}_{+}^2$$ be an index set and let $$\{G_{\alpha }(x) \}_{\alpha \in I}$$ a collection of Gaussian functions, i.e. $$G_{\alpha = \exp (-\alpha _1 x_1^2 - \alpha _2 x_2^2)$$ , where $$\alpha (\alpha _1, _2) I, \, x (x_1, x_2) R}^2$$ . We present complete description the uniformly discrete sets $$\Lambda \subset such that every bandlimited signal f admits...

We have obtained the exact-order estimates for some approximative characteristics of Sobolev classes $$ {\mathbbm{W}}_{p,\alpha}^r and Nikоl’skii–Besov {\mathbbm{B}}_{p,\theta}^r periodic functions one several variables in norm space B∞,1. Properties linear operators realizing orders best approximation {\mathbbm{B}}_{\infty, \theta}^r this by trigonometric polynomials generated a set harmonics ...

This paper is concerned with the probability of consensus in a multivariate, spatially explicit version Hegselmann-Krause model for dynamics opinions. Individuals are located on vertices finite connected graph representing social network, and characterized by their opinion, set opinions $\Delta$ being general bounded convex subset dimensional normed vector space. Having confidence threshold $\t...

for a ∈ mn, the schur multiplier of a is defined as s a(x) =a ◦ x for all x ∈ mn and the spectral norm of s a can be stateas ∥s a∥ = supx,0 ∥a ∥x ◦x ∥ ∥. the other norm on s a can be definedas ∥s a∥ω = supx,0 ω(ω s( ax (x ) )) = supx,0 ωω (a (x ◦x ) ), where ω(a) standsfor the numerical radius of a. in this paper, we focus on therelation between the norm of schur multiplier of product of matric...